The Scottish Government has said it has no plans to allow teachers to search pupils for knives.
The Tories said the problem was a serious one
A call to look at the matter came from the Scottish Tories, after heads in England were granted new powers.
Tory education spokeswoman Elizabeth Smith, a former teacher, said the issue must be taken very seriously.
A government spokeswoman said that, where pupils were suspected of committing criminal offences, the police should be contacted.
Ms Smith said: "Despite reservations from the teaching unions, the UK Government has now given head teachers in England these powers so they have a legal right to search pupils who are suspected of carrying knives and other dangerous weapons.
"Scotland must now follow suit."
The MSP stressed that the problem involved only a tiny minority of youngsters and that such powers could be used only where there was a "strong suspicion" that a pupil was carrying a weapon.
But the Scottish government said it had no plans to follow suit.
A spokeswoman said: "Our position is that where a pupil is suspected of carrying a knife, they are suspected of a criminal offence and teachers should get the police involved at that stage.
"We want our schools to be safe and secure places.
"The position in Scotland is slightly different - head teachers have said previously that they did not want these powers."